What is the Least Common Multiple of 98838 and 98846?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98838 and 98846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98838 and 98846, than apply into the LCM equation.

GCF(98838,98846) = 2
LCM(98838,98846) = ( 98838 × 98846) / 2
LCM(98838,98846) = 9769740948 / 2
LCM(98838,98846) = 4884870474

Least Common Multiple (LCM) of 98838 and 98846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98838 and 98846. First we will calculate the prime factors of 98838 and 98846.

Prime Factorization of 98838

Prime Factorization of 98846

Now multiplying the highest exponent prime factors to calculate the LCM of 98838 and 98846.

LCM(98838,98846) = 2¹ × 3² × 17² × 19¹ × 11¹ × 4493¹
LCM(98838,98846) = 4884870474